大葉大學圖書館 |

Levy matters V[electronic resource] :functionals of Levy processes /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	519.282
書名/作者:	Levy matters V : functionals of Levy processes // by Lars Norvang Andersen ... [et al.].
其他題名:	Levy matters 5
其他作者:	Andersen, Lars Norvang.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	xvi, 224 p. : : ill. (some col.), digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Levy processes.
標題:	Mathematics.
標題:	Probabilities.
標題:	Probability Theory and Stochastic Processes.
ISBN:	9783319231389
ISBN:	9783319231372
內容註:	Makoto Maejima: Classes of infinitely divisible distributions and examples -- Lars Norvang Andersen, Soren Asmussen, Peter W. Glynn and Mats Pihlsgard: Levy processes with two-sided reflection -- Persistence probabilities and exponents -- Frank Aurzada and Thomas Simon: Persistence probabilities and exponents.
摘要、提要註:	This three-chapter volume concerns the distributions of certain functionals of Levy processes. The first chapter, by Makoto Maejima, surveys representations of the main sub-classes of infinitesimal distributions in terms of mappings of certain Levy processes via stochastic integration. The second chapter, by Lars Norvang Andersen, Soren Asmussen, Peter W. Glynn and Mats Pihlsgard, concerns Levy processes reflected at two barriers, where reflection is formulated a la Skorokhod. These processes can be used to model systems with a finite capacity, which is crucial in many real life situations, a most important quantity being the overflow or the loss occurring at the upper barrier. If a process is killed when crossing the boundary, a natural question concerns its lifetime. Deep formulas from fluctuation theory are the key to many classical results, which are reviewed in the third chapter by Frank Aurzada and Thomas Simon. The main part, however, discusses recent advances and developments in the setting where the process is given either by the partial sum of a random walk or the integral of a Levy process
電子資源:	http://dx.doi.org/10.1007/978-3-319-23138-9

Levy matters V[electronic resource] :functionals of Levy processes /
Levy matters Vfunctionals of Levy processes /[electronic resource] :Levy matters 5by Lars Norvang Andersen ... [et al.]. - Cham :Springer International Publishing :2015. - xvi, 224 p. :ill. (some col.), digital ;24 cm. - Lecture notes in mathematics,21490075-8434 ;. - Lecture notes in mathematics ;2035..

Makoto Maejima: Classes of infinitely divisible distributions and examples -- Lars Norvang Andersen, Soren Asmussen, Peter W. Glynn and Mats Pihlsgard: Levy processes with two-sided reflection -- Persistence probabilities and exponents -- Frank Aurzada and Thomas Simon: Persistence probabilities and exponents.

This three-chapter volume concerns the distributions of certain functionals of Levy processes. The first chapter, by Makoto Maejima, surveys representations of the main sub-classes of infinitesimal distributions in terms of mappings of certain Levy processes via stochastic integration. The second chapter, by Lars Norvang Andersen, Soren Asmussen, Peter W. Glynn and Mats Pihlsgard, concerns Levy processes reflected at two barriers, where reflection is formulated a la Skorokhod. These processes can be used to model systems with a finite capacity, which is crucial in many real life situations, a most important quantity being the overflow or the loss occurring at the upper barrier. If a process is killed when crossing the boundary, a natural question concerns its lifetime. Deep formulas from fluctuation theory are the key to many classical results, which are reviewed in the third chapter by Frank Aurzada and Thomas Simon. The main part, however, discusses recent advances and developments in the setting where the process is given either by the partial sum of a random walk or the integral of a Levy process

ISBN: 9783319231389

Standard No.: 10.1007/978-3-319-23138-9doiSubjects--Topical Terms:

511896
Levy processes.

LC Class. No.: QA274.73

Dewey Class. No.: 519.282

Levy matters V[electronic resource] :functionals of Levy processes /
LDR:02517nam a2200349 a 4500 001 444337
003 DE-He213
005 20160412085359.0
006 m d
007 cr nn 008maaau
008 160715s2015 gw s 0 eng d
020 $a 9783319231389 $q (electronic bk.)
020 $a 9783319231372 $q (paper)
024 7 $a 10.1007/978-3-319-23138-9 $2 doi
035 $a 978-3-319-23138-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA274.73
072 7 $a PBT $2 bicssc
072 7 $a PBWL $2 bicssc
072 7 $a MAT029000 $2 bisacsh
082 0 4 $a 519.282 $2 23
090 $a QA274.73 $b .L668 2015
245 0 0 $a Levy matters V $h [electronic resource] : $b functionals of Levy processes / $c by Lars Norvang Andersen ... [et al.].
246 3 $a Levy matters 5
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xvi, 224 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2149
505 0 $a Makoto Maejima: Classes of infinitely divisible distributions and examples -- Lars Norvang Andersen, Soren Asmussen, Peter W. Glynn and Mats Pihlsgard: Levy processes with two-sided reflection -- Persistence probabilities and exponents -- Frank Aurzada and Thomas Simon: Persistence probabilities and exponents.
520 $a This three-chapter volume concerns the distributions of certain functionals of Levy processes. The first chapter, by Makoto Maejima, surveys representations of the main sub-classes of infinitesimal distributions in terms of mappings of certain Levy processes via stochastic integration. The second chapter, by Lars Norvang Andersen, Soren Asmussen, Peter W. Glynn and Mats Pihlsgard, concerns Levy processes reflected at two barriers, where reflection is formulated a la Skorokhod. These processes can be used to model systems with a finite capacity, which is crucial in many real life situations, a most important quantity being the overflow or the loss occurring at the upper barrier. If a process is killed when crossing the boundary, a natural question concerns its lifetime. Deep formulas from fluctuation theory are the key to many classical results, which are reviewed in the third chapter by Frank Aurzada and Thomas Simon. The main part, however, discusses recent advances and developments in the setting where the process is given either by the partial sum of a random walk or the integral of a Levy process
650 0 $a Levy processes. $3 511896
650 0 $a Mathematics. $3 172349
650 0 $a Probabilities. $3 171876
650 2 4 $a Probability Theory and Stochastic Processes. $3 463894
700 1 $a Andersen, Lars Norvang. $3 635793
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2035. $3 464096
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-23138-9
950 $a Mathematics and Statistics (Springer-11649)